7,323,039

3² × 17 × 23 × 2081

7,323,039 factors as 3^2 × 17 × 23 × 2081. Its 24 positive divisors give a proper-divisor sum of 4,369,473, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 23 × 2081

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,692,512

Proper Divisor Sum 4,369,473

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7323013 ← → #7323053

Radix Representation

Decimal	7323039
Binary	11011111011110110011111 (23 bits)
Octal	0o33736637
Hexadecimal	0x6FBD9F

Divisor Catalog (24)

1 3 9 17 23 51 69 153 207 391 1,173 2,081 3,519 6,243 18,729 35,377 47,863 106,131 143,589 318,393 430,767 813,671 2,441,013 7,323,039

Collatz Trajectory (266 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,323,039 21,969,118 10,984,559 32,953,678 16,476,839 49,430,518 24,715,259 74,145,778 37,072,889 111,218,668 55,609,334 27,804,667 83,414,002 41,707,001 125,121,004 62,560,502 31,280,251 93,840,754 46,920,377 140,761,132 70,380,566 35,190,283 105,570,850 52,785,425 158,356,276 79,178,138 39,589,069 118,767,208 59,383,604 29,691,802 14,845,901 44,537,704 22,268,852 11,134,426 5,567,213 16,701,640 8,350,820 4,175,410 2,087,705 6,263,116 3,131,558 1,565,779 4,697,338 2,348,669 7,046,008 3,523,004 1,761,502 880,751 2,642,254 1,321,127 3,963,382 1,981,691 5,945,074 2,972,537 8,917,612 4,458,806 2,229,403 6,688,210 3,344,105 10,032,316

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